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Finding the Fourth Proportional to 9,472.32, 13,082.40 and 9,342.72

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Solution

The fourth proportional to 9,472.32, 13,082.40 and 9,342.72 is: 12,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.32 : 13,082.40 = 9,342.72 : x
  2. Step 2: Convert to fraction form
    9,472.32/13,082.40 = 9,342.72/x
  3. Step 3: Cross multiply
    9,472.32x = 13,082.40 × 9,342.72
  4. Step 4: Simplify right side
    9,472.32x = 122,225,200.13
  5. Step 5: Solve for x
    x = 122,225,200.13/9,472.32
  6. Step 6: Final answer
    x = 12,903.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.